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Simplify And Evaluate. Solving. Inequalities. Absolute Value. Word Problems. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500. 5 + 3 × 4 ÷ 2. 11. 8 – 11(3 – 4x) – 7(5x – 9). 9x + 38. - PowerPoint PPT Presentation
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Simplify And
EvaluateSolving Inequalities
AbsoluteValue
Word Problems
5 + 3 × 4 ÷ 2
11
8 – 11(3 – 4x) – 7(5x – 9)
9x + 38
-3(x2 – 2) – 2(2x2 – 1)
-7x2 + 8
Evaluate ifx = -1 and y = 3
-4xy + 2x2
14
Evaluate ifa = -3, b = 2, and c = -1
2a2 – (4b + c)
11
Solve for “k”
k + m = w
h
k = wh - m
Solve for “h”
SA = 2rh + 2B
SA – 2B2∏r
y = x2 + xz 1
5
Solve for z:
5(y – x2)
xz =
3 1 11
5 10 2k k k
k = 5{5}
3(x + 2) = 8(x – 1) +5
x = 9/5 {9/5}
Solve and Graph
-5y + 6 ≤ 26
y ≥ 4
Graph: closed circle on 4, shaded to the right.
Solve and Graph
2(x – 4) < 8
x < 8
Graph: open circle on 8, shaded to the left.
Solve and Graph
4 – x < 2x + 1
x > 1
Graph: open circle on 1, shaded to the right.
Solve and Graph
–16 -3x + 8 -7
8 > x > 5
Graph: open circles on 5 and 8, shaded
in between.
Solve and Graph
-2 > x + 1 OR 2x > 6
x < -3 OR x > 3
Graph: open circle on -3 and shaded left; closed circle on 3 and shaded
right.
Solve.
4 2 14k
k = 3 ; k = -4{3, -4}
Solve.
| ½ x – 3| = 4
x = 14 or x = 2{ 14, 2}
Solve.
|3x + 3| > 9
x > 2 or x < -4
Graph: open circle on 2 and shaded right; open circle on -4 and shaded
left
Solve and Graph
|4 – 2x| > 8
x < -2 or x > 6
Graph: Closed circle on -2 and shaded to the left. Closed circle
on 6 and shaded to the right.
Solve and Graph
| 4x – 5 | < 5
0 < x < 5/2
Graph: open circle on 0 and 5/2 (between 2 and 3); shaded
in between.
You have $120 to purchase soda for a party. Each case of 24 bottles costs
$5.99. Assuming there is no sales tax, how many cases can you purchase?
5.99x = 120
20 cases
A bag of lawn fertilizer claims that it will cover
5000 square feet of grass. If your yard is
27,500 square feet, how many bags of fertilizer
will you need?
5000x = 27,500
6 bags
Jane’s cell phone plan is $40 per month plus $.15
per minute for each minute over 200 minutes of call
time. If Jane’s cell phone bill is $58.00, for how many total minutes did
Jane have for her last bill?
40 + .15x = 58
320 minutes!! ( did you remember to add the “free” 200
minutes to your answer?)
A book club promises to send you 8 books for $1, if you join the club.
After you receive the 8 books, you may select more books at a rate of $19.99 per book. If you
spend a total of $80.96, how many extra books did you
purchase?
19.99x = 79.96
4 extra books
Tickets for the DMB concert are $29.95 each (lawn seats!). Your
family and a friend of yours go to the concert. There are five people in your
family including yourself. How much will it cost for all of you to go?
5(29.95) + 29.95 = total costfamily of 5 + 1 friend = total cost
$179.70
